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![](https://rs.olm.vn/images/avt/0.png?1311)
Trả lời:
\(A=\frac{2}{2018.2020}+\frac{2021}{2020}-\frac{2020}{2019}\)
\(A=\frac{1}{2018}-\frac{1}{2020}+1+\frac{1}{2020}-\left(1+\frac{1}{2018}\right)\)
\(A=\frac{1}{2018}-\frac{1}{2020}+1+\frac{1}{2020}-1-\frac{1}{2018}\)
\(A=0\)
\(A=\frac{2}{2018}\cdot2020+\frac{2021}{2020}-\frac{2019}{2018}\)
\(A=\frac{2\cdot2020-2019}{2018}+\frac{2021}{2020}\)
\(A=\frac{2021}{2018}+\frac{2021}{2020}\)
\(A=\frac{2021\cdot\left(2020+2018\right)}{2018\cdot2020}=\frac{2021\cdot4038}{2018\cdot2020}=\frac{2021\cdot2019\cdot2}{2018\cdot1010\cdot2}=\frac{2020^2-1}{2018\cdot101\cdot10}\)
\(A=\frac{4080399}{20200180}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
2020 x 2021 - 3031 = 2020 x ( 2 + 2019 ) - 3031 = 2020 x 2019 + 2020 x 2 - 3031 = 2019 x 2020 + 1009
Nên ( 2019 x 2020 + 1009 ) : ( 2020 x 2021 - 3031 ) = ( 2019 x 2020 + 1009 ):( 2019 x 2020 + 1009 )=1
![](https://rs.olm.vn/images/avt/0.png?1311)
vi 2018/2019<1
2019/2020<1
2020/2021<1
nen 2018/2019 + 2019/2020 + 2020/2021<1+1+1=3
![](https://rs.olm.vn/images/avt/0.png?1311)
Giải:
a) 2019 + 2021 - 1
= 4040 - 1
= 4039
b) 2020 x 2019 + 2018
= 4078380 + 2018
= 4080398
Học tốt!!!
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=2018\times2020+2021\) và \(B=2019\times2019+2021\)
\(A=2018\times2019+2018+2021\)
\(B=2018\times2019+2019+2021\)
Vì \(2019>2018\Rightarrow A< B\)
\(A=\frac{2}{2018\times2020}+\frac{2021}{2020}-\frac{2019}{2018}\)
\(A=\frac{2020-2018}{2018\times2020}+\frac{2021}{2020}-\frac{2019}{2018}\)
\(A=\frac{1}{2018}-\frac{1}{2020}+\frac{2021}{2020}-\frac{2019}{2018}\)
\(A=\left(\frac{2021}{2020}-\frac{1}{2020}\right)-\left(\frac{2019}{2018}-\frac{1}{2018}\right)\)
\(A=1-1=0\)